Matrix calculus, Kronecker product and tensor product: a practical approach to linear algebra, multilinear algebra, and tensor calculus with software implementations
Gespeichert in:
| Vorheriger Titel: | Steeb, Willi-Hans, 1945- Matrix calculus and Kronecker product |
|---|---|
| Beteiligte Personen: | , |
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong KOng ; Taibei ; chennai ; Tokyo
World Scientific
2019
|
| Ausgabe: | Third edition |
| Schlagwörter: | |
| Abstract: | Matrix calculus. Denitions and notation -- Matrix operations -- Gram-Schmidt orthonormalization -- Linear equations -- Mutually unbiased bases -- Trace and determinant -- Eigenvalue problem -- Cayley-Hamilton theorem -- Projection matrices -- Unitary, Fourier, and Hadamard matrices -- Transformation of matrices -- Cayley transform -- Permutation matrices -- Spectral theorem -- Singular value decomposition -- Pseudo inverse -- Vec operator -- Vector and matrix norms -- Sequences of vectors and matrices -- Commutators and anti-commutators -- Groups and Lie groups -- Lie algebras -- Functions of matrices -- Nonnormal matrices -- Kronecker product. Denitions and notations -- Basic properties -- Matrix multiplication -- Permutation matrices -- Trace and determinant -- Eigenvalue problem -- Projection matrices -- Unitary, Fourier, and Hadamard matrices -- Direct sum -- Kronecker sum -- Matrix decompositions -- Vec operator and Sylvester equation -- Groups -- Group representation theory -- Commutators and anti-commutators -- Inversion of partitioned matrices -- Nearest Kronecker product -- Gateaux derivative and matrices Applications. Trace and partial trace -- Pauli spin matrices -- Spin coherent states -- Pauli group, Cliord groups, and Bell group -- Applications in quantum theory -- Partition functions and thermodynamics -- Dimensional ising model -- Fermi systems -- Dimer problem -- Dimensional Ising model -- Dimensional Heisenberg model -- Hopf algebras -- Quantum groups -- Lax representation -- Signal processing -- Clebsch-gordan series -- Braid-like relations and yang-baxter relations -- Fast Fourier transform -- Entanglement -- Hyperdeterminant -- Tensor eigenvalue problem -- Carleman matrix and bell matrix -- Tensor product>> -- Hilbert spaces -- Hilbert tensor products of Hilbert spaces -- Spin and statistics for the n-body problem -- Exciton-phonon systems -- Interpretation of quantum mechanics -- Universal enveloping algebra -- Tensor fields, metric tensor fields, and ricci tensors -- Software implementations |
| Beschreibung: | Previous edition: Matrix calculus and Kronecker product : a practical approach to linear and multilinear algebra / Willi-Hans Steeb, Yorick Hardy (2011) Includes bibliographical references and index |
| Umfang: | xiv, 373 Seiten |
| ISBN: | 9789811202513 |
Internformat
MARC
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| 245 | 1 | 0 | |a Matrix calculus, Kronecker product and tensor product |b a practical approach to linear algebra, multilinear algebra, and tensor calculus with software implementations |c by Yorick Hardy (University of the Witwatersrand, South Africa), Willi-Hans Steeb (University of Johannesburg, South Africa) |
| 250 | |a Third edition | ||
| 264 | 1 | |a New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong KOng ; Taibei ; chennai ; Tokyo |b World Scientific |c 2019 | |
| 300 | |a xiv, 373 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Previous edition: Matrix calculus and Kronecker product : a practical approach to linear and multilinear algebra / Willi-Hans Steeb, Yorick Hardy (2011) | ||
| 500 | |a Includes bibliographical references and index | ||
| 520 | 3 | |a Matrix calculus. Denitions and notation -- Matrix operations -- Gram-Schmidt orthonormalization -- Linear equations -- Mutually unbiased bases -- Trace and determinant -- Eigenvalue problem -- Cayley-Hamilton theorem -- Projection matrices -- Unitary, Fourier, and Hadamard matrices -- Transformation of matrices -- Cayley transform -- Permutation matrices -- Spectral theorem -- Singular value decomposition -- Pseudo inverse -- Vec operator -- Vector and matrix norms -- Sequences of vectors and matrices -- Commutators and anti-commutators -- Groups and Lie groups -- Lie algebras -- Functions of matrices -- Nonnormal matrices -- Kronecker product. Denitions and notations -- Basic properties -- Matrix multiplication -- Permutation matrices -- Trace and determinant -- Eigenvalue problem -- Projection matrices -- Unitary, Fourier, and Hadamard matrices -- Direct sum -- Kronecker sum -- Matrix decompositions -- Vec operator and Sylvester equation -- Groups -- Group representation theory -- Commutators and anti-commutators -- Inversion of partitioned matrices -- Nearest Kronecker product -- Gateaux derivative and matrices | |
| 520 | 3 | |a Applications. Trace and partial trace -- Pauli spin matrices -- Spin coherent states -- Pauli group, Cliord groups, and Bell group -- Applications in quantum theory -- Partition functions and thermodynamics -- Dimensional ising model -- Fermi systems -- Dimer problem -- Dimensional Ising model -- Dimensional Heisenberg model -- Hopf algebras -- Quantum groups -- Lax representation -- Signal processing -- Clebsch-gordan series -- Braid-like relations and yang-baxter relations -- Fast Fourier transform -- Entanglement -- Hyperdeterminant -- Tensor eigenvalue problem -- Carleman matrix and bell matrix -- Tensor product>> -- Hilbert spaces -- Hilbert tensor products of Hilbert spaces -- Spin and statistics for the n-body problem -- Exciton-phonon systems -- Interpretation of quantum mechanics -- Universal enveloping algebra -- Tensor fields, metric tensor fields, and ricci tensors -- Software implementations | |
| 650 | 0 | 7 | |a C++ |0 (DE-588)4193909-8 |2 gnd |9 rswk-swf |
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| 650 | 0 | 7 | |a Tensorprodukt |0 (DE-588)4059478-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Matrix |g Mathematik |0 (DE-588)4037968-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kronecker-Produkt |0 (DE-588)4254836-6 |2 gnd |9 rswk-swf |
| 653 | 0 | |a Matrices | |
| 653 | 0 | |a Kronecker products | |
| 689 | 0 | 0 | |a Kronecker-Produkt |0 (DE-588)4254836-6 |D s |
| 689 | 0 | 1 | |a Matrizenrechnung |0 (DE-588)4126963-9 |D s |
| 689 | 0 | 2 | |a Tensorprodukt |0 (DE-588)4059478-6 |D s |
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| 689 | 1 | 0 | |a Kronecker-Produkt |0 (DE-588)4254836-6 |D s |
| 689 | 1 | 1 | |a Matrix |g Mathematik |0 (DE-588)4037968-1 |D s |
| 689 | 1 | 2 | |a C++ |0 (DE-588)4193909-8 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Steeb, Willi-Hans |d 1945- |e Verfasser |0 (DE-588)12155614X |4 aut | |
| 780 | 0 | 0 | |i Vorangegangen ist |a Steeb, Willi-Hans, 1945- |t Matrix calculus and Kronecker product |w (DE-604)BV039552159 |
| 259 | |a 3 | ||
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-031439948 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 150 2020 A 3936(3) |
|---|---|
| DE-BY-TUM_katkey | 2504772 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040008743273 |
| _version_ | 1821934338265055233 |
| any_adam_object | |
| author | Hardy, Yorick 1976- Steeb, Willi-Hans 1945- |
| author_GND | (DE-588)121556808 (DE-588)12155614X |
| author_facet | Hardy, Yorick 1976- Steeb, Willi-Hans 1945- |
| author_role | aut aut |
| author_sort | Hardy, Yorick 1976- |
| author_variant | y h yh w h s whs |
| building | Verbundindex |
| bvnumber | BV046058587 |
| callnumber-first | Q - Science |
| callnumber-label | QA188 |
| callnumber-raw | QA188 |
| callnumber-search | QA188 |
| callnumber-sort | QA 3188 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 220 |
| classification_tum | MAT 150 |
| ctrlnum | (OCoLC)1105219295 (DE-599)KXP1664245359 |
| dewey-full | 512.9/434 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.9/434 |
| dewey-search | 512.9/434 |
| dewey-sort | 3512.9 3434 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | Third edition |
| format | Book |
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| id | DE-604.BV046058587 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T18:42:04Z |
| institution | BVB |
| isbn | 9789811202513 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-031439948 |
| oclc_num | 1105219295 |
| open_access_boolean | |
| owner | DE-521 DE-20 DE-91G DE-BY-TUM |
| owner_facet | DE-521 DE-20 DE-91G DE-BY-TUM |
| physical | xiv, 373 Seiten |
| publishDate | 2019 |
| publishDateSearch | 2019 |
| publishDateSort | 2019 |
| publisher | World Scientific |
| record_format | marc |
| spellingShingle | Hardy, Yorick 1976- Steeb, Willi-Hans 1945- Matrix calculus, Kronecker product and tensor product a practical approach to linear algebra, multilinear algebra, and tensor calculus with software implementations C++ (DE-588)4193909-8 gnd Matrizenrechnung (DE-588)4126963-9 gnd Tensorprodukt (DE-588)4059478-6 gnd Matrix Mathematik (DE-588)4037968-1 gnd Kronecker-Produkt (DE-588)4254836-6 gnd |
| subject_GND | (DE-588)4193909-8 (DE-588)4126963-9 (DE-588)4059478-6 (DE-588)4037968-1 (DE-588)4254836-6 |
| title | Matrix calculus, Kronecker product and tensor product a practical approach to linear algebra, multilinear algebra, and tensor calculus with software implementations |
| title_auth | Matrix calculus, Kronecker product and tensor product a practical approach to linear algebra, multilinear algebra, and tensor calculus with software implementations |
| title_exact_search | Matrix calculus, Kronecker product and tensor product a practical approach to linear algebra, multilinear algebra, and tensor calculus with software implementations |
| title_full | Matrix calculus, Kronecker product and tensor product a practical approach to linear algebra, multilinear algebra, and tensor calculus with software implementations by Yorick Hardy (University of the Witwatersrand, South Africa), Willi-Hans Steeb (University of Johannesburg, South Africa) |
| title_fullStr | Matrix calculus, Kronecker product and tensor product a practical approach to linear algebra, multilinear algebra, and tensor calculus with software implementations by Yorick Hardy (University of the Witwatersrand, South Africa), Willi-Hans Steeb (University of Johannesburg, South Africa) |
| title_full_unstemmed | Matrix calculus, Kronecker product and tensor product a practical approach to linear algebra, multilinear algebra, and tensor calculus with software implementations by Yorick Hardy (University of the Witwatersrand, South Africa), Willi-Hans Steeb (University of Johannesburg, South Africa) |
| title_old | Steeb, Willi-Hans, 1945- Matrix calculus and Kronecker product |
| title_short | Matrix calculus, Kronecker product and tensor product |
| title_sort | matrix calculus kronecker product and tensor product a practical approach to linear algebra multilinear algebra and tensor calculus with software implementations |
| title_sub | a practical approach to linear algebra, multilinear algebra, and tensor calculus with software implementations |
| topic | C++ (DE-588)4193909-8 gnd Matrizenrechnung (DE-588)4126963-9 gnd Tensorprodukt (DE-588)4059478-6 gnd Matrix Mathematik (DE-588)4037968-1 gnd Kronecker-Produkt (DE-588)4254836-6 gnd |
| topic_facet | C++ Matrizenrechnung Tensorprodukt Matrix Mathematik Kronecker-Produkt |
| work_keys_str_mv | AT hardyyorick matrixcalculuskroneckerproductandtensorproductapracticalapproachtolinearalgebramultilinearalgebraandtensorcalculuswithsoftwareimplementations AT steebwillihans matrixcalculuskroneckerproductandtensorproductapracticalapproachtolinearalgebramultilinearalgebraandtensorcalculuswithsoftwareimplementations |
Paper/Kapitel scannen lassen
Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 150 2020 A 3936(3)
Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |